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18. General: Roll a Die (a) If you roll a single fair die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to the outcomes of the sample space of part (a). Do the probabilities add up to 1? Should they add up to 1? Explain. (c) What is the probability of getting a number less than 5 on a single throw? (d) What is the probability of getting 5 or 6 on a single throw?

18. General: Roll a Die (a) If you roll a single fair die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to the outcomes of the sample space of part (a). Do the probabilities add up to 1? Should they add up to 1? Explain. (c) What is the probability of getting a number less than 5 on a single throw? (d) What is the probability of getting 5 or 6 on a single throw?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer number 18. Show work! Answer all parts of this question: thx!
### Educational Material: Probability and Statistics #### 14. Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain. #### 15. Probability Estimate: Wiggle Your Ears Can you wiggle your ears? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can wiggle their ears. How can your result be thought of as an estimate for the probability that a person chosen at random can wiggle his or her ears? **Comment:** National statistics indicate that about 13% of Americans can wiggle their ears (Source: Bernice Kanner, *Are You Normal?*, St. Martin’s Press, New York). #### 16. Probability Estimate: Raise One Eyebrow Can you raise one eyebrow at a time? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can raise one eyebrow at a time. How can your result be thought of as an estimate for the probability that a person chosen at random can raise one eyebrow at a time? **Comment:** National statistics indicate that about 30% of Americans can raise one eyebrow at a time (see source in Problem 15). #### 17. Myers–Briggs: Personality Types Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication (Source: I. B. Myers and M. H. McCaulley, *A Guide to the Development and Use of the Myers–Briggs Type Indicators*). | Similarities and Differences in a Random Sample of 375 Married Couples | |--------------------------------|-----------------------------| | **Number of Similar Preferences** | **Number of Married Couples**| | All four | 34 | | Three | 131 | | Two | 124 | | One | 71 | | None | 15 | **Suppose that a married couple is selected at random.** (a) Use the data to estimate the probability that they will have 0
Transcribed Image Text:### Educational Material: Probability and Statistics #### 14. Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain. #### 15. Probability Estimate: Wiggle Your Ears Can you wiggle your ears? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can wiggle their ears. How can your result be thought of as an estimate for the probability that a person chosen at random can wiggle his or her ears? **Comment:** National statistics indicate that about 13% of Americans can wiggle their ears (Source: Bernice Kanner, *Are You Normal?*, St. Martin’s Press, New York). #### 16. Probability Estimate: Raise One Eyebrow Can you raise one eyebrow at a time? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can raise one eyebrow at a time. How can your result be thought of as an estimate for the probability that a person chosen at random can raise one eyebrow at a time? **Comment:** National statistics indicate that about 30% of Americans can raise one eyebrow at a time (see source in Problem 15). #### 17. Myers–Briggs: Personality Types Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication (Source: I. B. Myers and M. H. McCaulley, *A Guide to the Development and Use of the Myers–Briggs Type Indicators*). | Similarities and Differences in a Random Sample of 375 Married Couples | |--------------------------------|-----------------------------| | **Number of Similar Preferences** | **Number of Married Couples**| | All four | 34 | | Three | 131 | | Two | 124 | | One | 71 | | None | 15 | **Suppose that a married couple is selected at random.** (a) Use the data to estimate the probability that they will have 0
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